ABSTRACT
A numerical method must have a stable behaviour to simulate timedependent problems. Thus, a rigorous stability analysis of a numerical method is essential before it is relied upon to solve time-dependent problems; in particular, it is vital for strong form-based methods. This aspect of a meshless method is elaborated in this chapter by studying the stability characteristics of meshless RDQ method. This is accomplished by analyzing the locations of zeros or roots of its characteristic polynomials with respect to the unit circle in the complex plane, by discretizing the domain with either uniform or random field nodes.
